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(c) The average life of a smart phone of brand A is 6 years and 4 years for brand B, with a known standard deviation of 1 and 2 years respectively. The lives of these smart phones are assumed to follow approximately a normal distribution. Two samples of size 42 and 52 are randomly selected from smart phone of brand A and B. (i) Identify the probability that the mean life of random smart phone A falls between 5.5 and 6.6 years. (ii) Solve the probability mean life of smart phone of brand B is more than 4 years. (iii) Solve the probability that the mean life of a random sample of smart phone brand A is not less than 1.5 years than the sample of smart phone brand B.

(c) The average life of a smart phone of brand A is 6 years and 4 years for brand B, with a known standard deviation of 1 and 2 years respectively. The lives of these smart phones are assumed to follow approximately a normal distribution. Two samples of size 42 and 52 are randomly selected from smart phone of brand A and B. (i) Identify the probability that the mean life of random smart phone A falls between 5.5 and 6.6 years. (ii) Solve the probability mean life of smart phone of brand B is more than 4 years. (iii) Solve the probability that the mean life of a random sample of smart phone brand A is not less than 1.5 years than the sample of smart phone brand B.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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(c) The average life of a smart phone of brand A is 6 years and 4 years for brand B, with a known standard deviation of 1 and 2 years respectively. The lives of these smart phones are assumed to follow approximately a normal distribution. Two samples of size 42 and 52 are randomly selected from smart phone of brand A and B. (i) Identify the probability that the mean life of random smart phone A falls between 5.5 and 6.6 years. (ii) Solve the probability mean life of smart phone of brand B is more than 4 years. (iii) Solve the probability that the mean life of a random sample of smart phone brand A is not less than 1.5 years than the sample of smart phone brand B.
Transcribed Image Text:(c) The average life of a smart phone of brand A is 6 years and 4 years for brand B, with a known standard deviation of 1 and 2 years respectively. The lives of these smart phones are assumed to follow approximately a normal distribution. Two samples of size 42 and 52 are randomly selected from smart phone of brand A and B. (i) Identify the probability that the mean life of random smart phone A falls between 5.5 and 6.6 years. (ii) Solve the probability mean life of smart phone of brand B is more than 4 years. (iii) Solve the probability that the mean life of a random sample of smart phone brand A is not less than 1.5 years than the sample of smart phone brand B.
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ISBN:
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